In a race of 1 km, A beats B by 100 m . In a race of 400 m, B beats C by 40 m. In a race of 500 m A will beat C by ?

95 m

When A runs 1000m, B runs 900m.

Hence, when A runs 500m, B runs 450m.

Again, when B runs 400m, C runs 360m.

And, when B runs 450m, C runs = \(\frac{360\;×\;450}{400}\) = 405m.

Required distance = 500 - 405 = 95 meter .

That means when A runs 500 meter then B can run 450m then C runs 405m.